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(MATLAB, 수학)....뭐가 문제일까요
게시물ID : science_33544짧은주소 복사하기
작성자 : 펠라군드
추천 : 0
조회수 : 478회
댓글수 : 5개
등록시간 : 2014/03/29 21:23:45


저는 MATLAB으로 이런 함수를

w=[0:0.001:1];
t=4425*sqrt(1./((1+w).^3*0.3+0.7));
plot(w,t)

what.jpg


정적분했는데

w=sym('w','real');
z=sym('z','real');
f=4425*sqrt(1./((1+w).^3*0.3+0.7));
int(f,w,0,0.4)

왜 이런 값이 튀어나오는걸까요?

- (2950*2^(1/2)*3^(1/2)*5^(1/2)*(((3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3 - 1)/((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3))^(1/2)*(1/((3^(2/3)*7^(1/3))/3 - (3^(2/3)*7^(1/3)*(- 1/2 + (3^(1/2)*i)/2))/3))^(1/2)*ellipticF(asin((((3^(2/3)*7^(1/3))/3 + 1)/((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3))^(1/2)), ((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3)/((3^(2/3)*7^(1/3))/3 - (3^(2/3)*7^(1/3)*(- 1/2 + (3^(1/2)*i)/2))/3))*((3^(2/3)*7^(1/3)*(- 1/2 + (3^(1/2)*i)/2))/3 + 1)^(1/2)*((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3)*(((3^(2/3)*7^(1/3))/3 + 1)/((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3))^(1/2)*i)/((3^(2/3)*7^(1/3))/3 - (7*(- 1/2 + (3^(1/2)*i)/2)*(1/2 + (3^(1/2)*i)/2))/3 + (3^(1/3)*7^(2/3)*(- 1/2 + (3^(1/2)*i)/2))/3 - (3^(1/3)*7^(2/3)*(1/2 + (3^(1/2)*i)/2))/3 + (3^(2/3)*7^(1/3)*(- 1/2 + (3^(1/2)*i)/2))/3 - (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3 - (3^(1/3)*7^(2/3)*(- 1/2 + (3^(1/2)*i)/2)*(1/2 + (3^(1/2)*i)/2))/3 + 1)^(1/2) + (2950*2^(1/2)*3^(1/2)*5^(1/2)*(((3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3 - 7/5)/((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3))^(1/2)*(1/((3^(2/3)*7^(1/3))/3 - (3^(2/3)*7^(1/3)*(- 1/2 + (3^(1/2)*i)/2))/3))^(1/2)*ellipticF(asin((((3^(2/3)*7^(1/3))/3 + 7/5)/((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3))^(1/2)), ((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3)/((3^(2/3)*7^(1/3))/3 - (3^(2/3)*7^(1/3)*(- 1/2 + (3^(1/2)*i)/2))/3))*((3^(2/3)*7^(1/3)*(- 1/2 + (3^(1/2)*i)/2))/3 + 7/5)^(1/2)*((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3)*(((3^(2/3)*7^(1/3))/3 + 7/5)/((3^(2/3)*7^(1/3))/3 + (3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/3))^(1/2)*i)/((49*3^(2/3)*7^(1/3))/75 - (7*(- 1/2 + (3^(1/2)*i)/2)*(1/2 + (3^(1/2)*i)/2))/3 + (7*3^(1/3)*7^(2/3)*(- 1/2 + (3^(1/2)*i)/2))/15 - (7*3^(1/3)*7^(2/3)*(1/2 + (3^(1/2)*i)/2))/15 + (49*3^(2/3)*7^(1/3)*(- 1/2 + (3^(1/2)*i)/2))/75 - (49*3^(2/3)*7^(1/3)*(1/2 + (3^(1/2)*i)/2))/75 - (7*3^(1/3)*7^(2/3)*(- 1/2 + (3^(1/2)*i)/2)*(1/2 + (3^(1/2)*i)/2))/15 + 343/125)^(1/2)

울프람에 쳐봐도 똑같이 나오고... 미추어버리겠습니다.



컴관련 내용이지만 수학적 문제라서 여기 올립니다.
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